Brownian Motion on Cantor Sets
No Thumbnail Available
Date
2020
Journal Title
Journal ISSN
Volume Title
Publisher
Walter de Gruyter Gmbh
Open Access Color
OpenAIRE Downloads
OpenAIRE Views
Abstract
In this paper, we have investigated the Langevin and Brownian equations on fractal time sets using F-alpha-calculus and shown that the mean square displacement is not varied linearly with time. We have also generalized the classical method of deriving the Fokker Planck equation in order to obtain the Fokker-Planck equation on fractal time sets.
Description
Ashrafi, Saleh/0000-0003-2426-3051
ORCID
Keywords
F-Alpha-Calculus, Fokker-Planck Equation, Brownian Equation, Langevin Equation
Turkish CoHE Thesis Center URL
Fields of Science
Citation
Khalili Golmankhaneh, A.; Ashrafi, S.; Baleanu, D.; Fernandez, A.,"Brownian Motion On Cantor Sets",International Journal of Nonlinear Sciences and Numerical Simulation, (2020).
WoS Q
Q2
Scopus Q
Q3
OpenCitations Citation Count
2
Source
Volume
21
Issue
3-4
Start Page
275
End Page
281
PlumX Metrics
Citations
CrossRef : 2
Scopus : 3
Captures
Mendeley Readers : 6
Google Scholar™
OpenAlex FWCI
0.27226096
Sustainable Development Goals
2
ZERO HUNGER
3
GOOD HEALTH AND WELL-BEING
8
DECENT WORK AND ECONOMIC GROWTH
9
INDUSTRY, INNOVATION AND INFRASTRUCTURE
10
REDUCED INEQUALITIES
11
SUSTAINABLE CITIES AND COMMUNITIES
15
LIFE ON LAND
16
PEACE, JUSTICE AND STRONG INSTITUTIONS
17
PARTNERSHIPS FOR THE GOALS
